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Finding the Fourth Proportional to 2,407.73, 3,321.72 and 1,463.18

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Solution

The fourth proportional to 2,407.73, 3,321.72 and 1,463.18 is: 2,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.73 : 3,321.72 = 1,463.18 : x
  2. Step 2: Convert to fraction form
    2,407.73/3,321.72 = 1,463.18/x
  3. Step 3: Cross multiply
    2,407.73x = 3,321.72 × 1,463.18
  4. Step 4: Simplify right side
    2,407.73x = 4,860,257.66
  5. Step 5: Solve for x
    x = 4,860,257.66/2,407.73
  6. Step 6: Final answer
    x = 2,018.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.